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Simplifying 13x = x2 + -7x Reorder the terms: 13x = -7x + x2 Solving 13x = -7x + x2 Solving for variable 'x'. Combine like terms: 13x + 7x = 20x 20x + -1x2 = -7x + x2 + 7x + -1x2 Reorder the terms: 20x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 20x + -1x2 = 0 + x2 + -1x2 20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(20 + -1x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {0, 20}
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